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Finding the Fourth Proportional to 5,114.93, 7,670.76 and 1,994.18

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Solution

The fourth proportional to 5,114.93, 7,670.76 and 1,994.18 is: 2,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.93 : 7,670.76 = 1,994.18 : x
  2. Step 2: Convert to fraction form
    5,114.93/7,670.76 = 1,994.18/x
  3. Step 3: Cross multiply
    5,114.93x = 7,670.76 × 1,994.18
  4. Step 4: Simplify right side
    5,114.93x = 15,296,876.18
  5. Step 5: Solve for x
    x = 15,296,876.18/5,114.93
  6. Step 6: Final answer
    x = 2,990.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.